中国物理B ›› 2007, Vol. 16 ›› Issue (4): 955-961.doi: 10.1088/1009-1963/16/4/017

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Suppression of spiral waves using intermittent local electric shock

李延龙1, 马军2, 应和平3   

  1. (1)Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; (2)Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China；Zhejiang Institute of Modern Physics in the Zhejiang University, Hangzhou 310027, China; (3)Zhejiang Institute of Modern Physics in the Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2006-06-14 修回日期:2006-07-17 出版日期:2007-04-20 发布日期:2007-04-20
  • 基金资助:
    Project supported by the NNSF of China (Grant Nos~10572056 and 10405018) and the NSF of Gansu Province of China (Grant No~3ZS042-B25-021).

Suppression of spiral waves using intermittent local electric shock

Ma Jun(马军)a)b)† , Ying He-Ping(应和平)b), and Li Yan-Long(李延龙)a)   

  1. a Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; b Zhejiang Institute of Modern Physics in the Zhejiang University, Hangzhou 310027, China
  • Received:2006-06-14 Revised:2006-07-17 Online:2007-04-20 Published:2007-04-20
  • Supported by:
    Project supported by the NNSF of China (Grant Nos~10572056 and 10405018) and the NSF of Gansu Province of China (Grant No~3ZS042-B25-021).

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摘要： In this paper, an intermittent local electric shock scheme is proposed to suppress stable spiral waves in the Barkley model by a weak electric shock (about 0.4 to 0.7) imposed on a random selected n×n grids (n=1-5, compared with the original 256×256 lattice) and monitored synchronically the evolutions of the activator on the grids as the sampled signal of the activator steps out a given threshold (i.e., the electric shock works on the n×n grids if the activator u\leq0.4 or u \geq 0.8). The numerical simulations show that a breakup of spiral is observed in the media state evolution to finally obtain homogeneous states if the electric shock with appropriate intensity is imposed.

关键词: excitable media, spiral waves, intermittent control

Abstract: In this paper, an intermittent local electric shock scheme is proposed to suppress stable spiral waves in the Barkley model by a weak electric shock (about 0.4 to 0.7) imposed on a random selected n×n grids (n=1-5, compared with the original 256×256 lattice) and monitored synchronically the evolutions of the activator on the grids as the sampled signal of the activator steps out a given threshold (i.e., the electric shock works on the n×n grids if the activator $u\leq0.4$ or $u \geq 0.8$). The numerical simulations show that a breakup of spiral is observed in the media state evolution to finally obtain homogeneous states if the electric shock with appropriate intensity is imposed.

Key words: excitable media, spiral waves, intermittent control

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a